Cartan subalgebras in uniform Roe algebras

摘要: In this paper we study structural and uniqueness questions for Cartan subalgebras of uniform Roe algebras. We characterise when an inclusion B⊆A C∗-algebras is isomorphic to the canonical l∞(X) inside a algebra C∗u(X) associated metric space bounded geometry. obtain results `Roe Cartans' algebras up automorphism non-amenable spaces X with property A, inner has finite decomposition complexity.